Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?

r ≈ 45. 10 cm

Step-by-step explanation:

Jimmy pumps 288, 000 cm³ of air into a spherical balloon. The radius can be found by using the volume of a sphere formula.

volume of a sphere = 4/3πr³

where

r = radius

volume = 288000 cm³

288000 = 4/3 * π * r³

288000 = 4/3 * 3.14 * r³

12.56r³ = 288000 * 4

12.56r³ = 1152000

divide both sides by 12.56

r³ = 1152000/12.56

r³ = 91719.745223

r = ∛91719.745223

r = 45.0976882 cm

r ≈ 45. 10 cm